Finding the Third Proportional to 172,432 and 376,942

Step by Step Solution

1. Step 1: Write the proportion equation
   172,432 : 376,942 = 376,942 : x
2. Step 2: Convert to fraction form
   172,432/376,942 = 376,942/x
3. Step 3: Cross multiply
   172,432x = 376,942 × 376,942
4. Step 4: Simplify right side
   172,432x = 142,085,271,364
5. Step 5: Solve for x
   x = 142,085,271,364/172,432
6. Step 6: Final answer
   x = 824,007.56